540034440 has 128 divisors (see below), whose sum is σ = 1772928000. Its totient is φ = 130507520.

The previous prime is 540034421. The next prime is 540034471. The reversal of 540034440 is 44430045.

540034440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×540034440² = 583274392772227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 540034440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790339 + ... + 791021.

It is an arithmetic number, because the mean of its divisors is an integer number (13851000).

Almost surely, 2^540034440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886464000).

540034440 is an abundant number, since it is smaller than the sum of its proper divisors (1232893560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540034440 is a wasteful number, since it uses less digits than its factorization.

540034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 540034440 is about 23238.6410962431. The cubic root of 540034440 is about 814.3425965628.

Adding to 540034440 its reverse (44430045), we get a palindrome (584464485).

The spelling of 540034440 in words is "five hundred forty million, thirty-four thousand, four hundred forty".